Prove It 5 Review

Two figures are congruent if there is a sequence of rigid motions that maps one figure onto the other

• true

• false

∆EFG has been rotated and maps onto ∆LMN. Which statement is true?

•  $\overline{EG}\cong\overline{MN}$  

•  $\overline{EF}\cong\overline{LN}$  

• ∠G ≅ ∠L

• ∠F ≅ ∠M

Answer explanation

Corresponding sides are congruent after a rigid transformation

What transformation does T_(-3,4) represent?

• Translate 3 units down and 4 units right

• Translate 3 units left and 4 units up

• Translate 3 units left and 4 units left

• Translate 3 units right and 4 units up

R_{P -25} (ABC)

• Rotate ABC around point P 25 degrees clockwise

• Rotate ABC around point P 25 degrees counterclockwise

• Reflect ABC around point P

• Reflect ABC around line P

Describe the precise sequence of rigid motions which would show $∆ABC\cong∆DEF$ 

• Rotate triangle ABC 180° about the intersection of  $\overline{AB}$   and  $\overline{DE}$  such that A′B′C′ maps onto DEF.

• Translate triangle ABC along line $\overline{CF}$   such that point C maps onto point F, resulting in image A′B′C′. Then reflect A′B′C′ over the line  $\overline{DF}$  such that A′B′C′ maps onto DEF.

• Reflect ABC over the perpendicular bisector of  $\overline{EB}$   such that ABC maps onto DEF.

r _{x = 4}

• Rotate around the line x = 1

• Rotate around a point x =1

• Reflect across the line x = 4

• Reflect across the x axis

The figure was rotated and then reflected. Which is the mathematical notation describing the transformation?

• $\left(r_{xy}\left(R_{C,-90\degree}(∆ABC)\right)\right)=∆A''B''C''$

• $\left(r_{xy}\left(R_{C,90\degree}(∆ABC)\right)\right)=∆A''B''C''$

A 360 degree rotation maps a figure onto itself

• true
• false

R_{O 270 (ABC)}

• Rotate ABC 270 degrees counterclockwise around the origin

• Rotate ABC 270 degrees clockwise around the origin

• Reflect ABC around the origin

• Reflect ABC around point O

A rotation is the same as

• A reflection
• Two Translations
• Two reflections
• Two Dilations